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Two problems on weighted shifts in linear dynamics

Abstract : We show that an invertible bilateral weighted shift is strongly structurally stable if and only if it has the shadowing property. We also exhibit a Köthe sequence space supporting a frequently hypercyclic weighted shift, but no chaotic weighted shifts.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03103403
Contributor : Frédéric Bayart <>
Submitted on : Friday, January 8, 2021 - 9:57:56 AM
Last modification on : Thursday, February 25, 2021 - 10:32:06 AM

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  • HAL Id : hal-03103403, version 1
  • ARXIV : 2101.02989

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Frédéric Bayart. Two problems on weighted shifts in linear dynamics. 2021. ⟨hal-03103403⟩

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